Question

In professional sports, stacking is a term used to describe the practice of African-American players being excluded from certain positions because of race. To illustrate the stacking phenomenon, the Sociology of Sport Journal (Vol. 14, 1997) presented the table shown here. The table summarizes the race and positions of 368 National Basketball Association (NBA) players in 1993. Suppose an NBA player is selected at random from that year’s player pool.

a. What is the probability that the player is white?
b. What is the probability that the player is a center?
c. What is the probability that the player is African-American and plays guard?
d. What is the probability that the player is not a guard?
e. What is the probability that the player is white or a center?
f. Given that the player is white, what is the probability that he is a center?
g. Given that the player is African-American, what is the probability that he is a center?
h. Are the events {White player} and {Center} independent?
i. Use your answers to parts f – h to make an inference about stacking in the NBA.